A boy in a pedal car is moving at a speed of 1.40 m/s at the start of a 2.45 m high and 12.4 m long incline. The total mass is 60.0 kg, air resistance and rolling resistance can be modeled as a constant friction force of 41.0 N, and the speed at the lower end of the incline is 6.50 m/s. Determine the work done (in J) by the boy as the car travels down the incline.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A boy in a pedal car is moving at a speed of 1.40 m/s at the start of a 2.45 m high and 12.4 m long incline. The total mass is 60.0 kg, air resistance and rolling resistance can be modeled as a constant friction force of 41.0 N, and the speed at
the lower end of the incline is 6.50 m/s. Determine the work done (in J) by the boy as the car travels down the incline.
Transcribed Image Text:A boy in a pedal car is moving at a speed of 1.40 m/s at the start of a 2.45 m high and 12.4 m long incline. The total mass is 60.0 kg, air resistance and rolling resistance can be modeled as a constant friction force of 41.0 N, and the speed at the lower end of the incline is 6.50 m/s. Determine the work done (in J) by the boy as the car travels down the incline.
Expert Solution
Step 1

(given)

Total mass (m) = 60 kg

Height (h1) =2.45 m

Height (h2) = 0 m

Initial velocity ( vi) = 1.40 m/s

Final velocity (vf) = 6.50 m/s

d = 12.4 m

Frictional force (f) = 41 N

Formula is

W =( 12mv22-12mv12 )+(mgh2-mgh1)+f×d

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